The Banach-Saks properties in Orlicz-Lorentz spaces

Anna Kamińska, Han Ju Lee

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

The Banach-Saks index of an Orlicz-Lorentz space Λφ,w (I) for both function and sequence case, is computed with respect to its Matuszewska-Orlicz indices of φ. It is also shown that an Orlicz-Lorentz function space has weak Banach-Saks (resp., Banach-Saks) property if and only if it is separable (resp., reflexive).

Original languageEnglish
Article number423198
JournalAbstract and Applied Analysis
Volume2014
DOIs
StatePublished - 2014

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